{"id": "c686", "title": "C686 — Unify the690 core and34.5 micro seed", "filename": "C686.md", "role": "Research action", "step": 686, "sha256": "4fea3d89380b51598fed22677e1d13b27be2b8c86369b7c5bd469e0c6a72602a", "bytes": 1197, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C686"], "download": "/sources/4fea3d89380b51598fed22677e1d13b27be2b8c86369b7c5bd469e0c6a72602a.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "Which parts of the two source constructions are exact scalar copies?", "content": "# C686 — Unify the690 core and34.5 micro seed\n\n## Question\n\nWhich parts of the two source constructions are exact scalar copies?\n\n## Inputs\n\n```json\n{\n  \"micro_seed\": \"69/2\",\n  \"scale\": 20,\n  \"native_core\": 690\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §§1,4,6\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:13:24.014732+00:00\n\n## Results\n\n```json\n{\n  \"micro_native_P_E\": [\n    \"69/2\",\n    35,\n    \"75/2\"\n  ],\n  \"twentyfold\": [\n    690,\n    700,\n    750\n  ],\n  \"twentyfold_normalized40\": 800,\n  \"retained_bracket810_over20\": \"81/2\"\n}\n```\n\n## Finding\n\nThe native/P/E core sequence690→700/750 is exactly twenty times34.5→35/37.5. The normalized40 would scale to800, so it remains a separate completion. The810/20=40.5 comparison is numerical and does not establish an endpoint map.\n\n## Reassessment\n\nTrace the micro seed’s364-volume into the existing Actual/Rounded macro interface.\n\n## Checks\n\n```json\n{\n  \"scaled\": true,\n  \"normalization_distinct\": true,\n  \"ratio\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:13:24.015216+00:00\n\n## Record provenance\n\nExact record hash: `88a82a98769ff14a54acb300b8d0a816e66ef4160810b361291aead4fe825ba7`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}